149983000225536 has 144 divisors (see below), whose sum is σ = 412956954748800. Its totient is φ = 48268187971584.

The previous prime is 149983000225501. The next prime is 149983000225547. The reversal of 149983000225536 is 635522000389941.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528751395 + ... + 529034973.

It is an arithmetic number, because the mean of its divisors is an integer number (2867756630200).

Almost surely, 2^{149983000225536} is an apocalyptic number.

149983000225536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149983000225536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206478477374400).

149983000225536 is an abundant number, since it is smaller than the sum of its proper divisors (262973954523264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149983000225536 is a wasteful number, since it uses less digits than its factorization.

149983000225536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307374 (or 307360 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 57.

The spelling of 149983000225536 in words is "one hundred forty-nine trillion, nine hundred eighty-three billion, two hundred twenty-five thousand, five hundred thirty-six".